CN112019295B - Orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation - Google Patents

Orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation Download PDF

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CN112019295B
CN112019295B CN202011152185.XA CN202011152185A CN112019295B CN 112019295 B CN112019295 B CN 112019295B CN 202011152185 A CN202011152185 A CN 202011152185A CN 112019295 B CN112019295 B CN 112019295B
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CN112019295A (en
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刘博�
忻向军
任建新
毛雅亚
张靖怡
王瑞春
沈磊
李良川
周锐
王光全
吴泳锋
孙婷婷
赵立龙
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Nanjing University of Information Science and Technology
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    • H04ELECTRIC COMMUNICATION TECHNIQUE
    • H04JMULTIPLEX COMMUNICATION
    • H04J14/00Optical multiplex systems
    • H04J14/04Mode multiplex systems
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Abstract

The invention discloses an orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation, which belongs to the technical field of optical transmission.A series-parallel conversion unit is used for carrying out series-parallel conversion on input original data and then completing coding mapping in an APPM mapping unit, an up-sampling unit is used for carrying out orthogonal filtering on coded signals, and an adder unit is used for adding the filtered signals to synthesize a path of three-dimensional APPM signals for orthogonal mode transmission; the method realizes multiplexing of three paths of pulse amplitude modulation (APPM) signals based on three groups of orthogonal filters, further realizes great multiplication of transmission capacity by combining an orthogonal mode multiplexing transmission method, improves the problem of low APPM frequency spectrum efficiency, increases the transmission capacity, and provides a possibility for APPM to be expanded to more dimensions; meanwhile, the transmission scheme of orthogonal mode multiplexing eliminates mode crosstalk in few-mode optical fibers, MIMO-DSP processing is not needed at a receiving end, system cost is reduced, and high-capacity transmission with low complexity is realized.

Description

基于三维脉冲幅度位置调制的正交模式复用传输方法Orthogonal Mode Multiplexing Transmission Method Based on 3D Pulse Amplitude Position Modulation

技术领域technical field

本发明属于光通信技术领域,具体涉及基于三维脉冲幅度位置调制的正交模式复用传输方法。The invention belongs to the technical field of optical communication, and in particular relates to an orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation.

背景技术Background technique

随着信息化建设进程的加快,网络用户激增,网络流量呈现爆发式增长,根据报告指出:从2017年到2022年,移动数据流量将以46%的复合年增长率(CAGR)增长,到2022年将达到每月77.5艾字节。为了解决这一问题,基于少模光纤的模式复用技术是不可或缺的技术方案,因其使用少模光纤中的不同模态作为不同的空间信道进行数据传输从而成倍提高了传输容量。在模式复用系统中,虽然少模光纤(FMF)中的所有正交空间模式和偏振模式都是作为独立的数据通道使用,但是在实际的光纤传输中,FMF中的各个模式之间会因为链路中的各个影响因子发生耦合,从而产生串扰,对传输信息质量造成影响。针对这个问题一些研究者采用多输入多输出(MIMO)DSP处理方案,而且使用这些MIMO算法可以有效解决模式串扰的问题,但是存在着MIMO成本大,复杂度高的问题比较适合于长距离传输并不是短距离光传输,因此寻找一种适合于短距离传输的低复杂度,高效率的复用方式变得很有必要。With the acceleration of informatization construction, network users have surged, and network traffic has shown explosive growth. According to the report, from 2017 to 2022, mobile data traffic will grow at a compound annual growth rate (CAGR) of 46%, and by 2022 Year will reach 77.5 exabytes per month. In order to solve this problem, mode multiplexing technology based on few-mode fiber is an indispensable technical solution, because it uses different modes in the few-mode fiber as different spatial channels for data transmission, thereby increasing the transmission capacity exponentially. In the mode multiplexing system, although all orthogonal spatial modes and polarization modes in few-mode fiber (FMF) are used as independent data channels, in actual fiber transmission, the various modes in FMF will be The various influencing factors in the link are coupled, resulting in crosstalk, which affects the quality of transmitted information. In response to this problem, some researchers use multiple-input multiple-output (MIMO) DSP processing solutions, and these MIMO algorithms can effectively solve the problem of mode crosstalk, but there are problems of high cost and high complexity of MIMO, which is more suitable for long-distance transmission and It is not short-distance optical transmission, so it becomes necessary to find a low-complexity and high-efficiency multiplexing method suitable for short-distance transmission.

同时在短距离光通信系统中,为了能容纳更多的用户,满足传输容量的需求,短距离传输的发展从经典的非归零时分复用(NRZ-TDM)到波分复用(WDM)和更多先进的调制格式。例如,正交频分复用技术(OFDM),无载波幅度相位(CAP)调制,离散多音调制(DMT),脉冲幅度调制(PAM)等,这些调制格式能在保持带宽和信道数不变的情况下获得更高的传输容量。在这些先进的调制格式中,PAM-4的峰均功率要明显低于DMT调制技术,并且在相同比特率情况下,接收机灵敏度优于CAP16,因此引起了广大研究者的兴趣。然而PAM的功率损耗随调制阶数的增加呈指数增长,而且高阶PAM容易出现符号串扰的问题,增加接收判决的难度。脉冲位置调制(PPM)将符号划分成多个子间隔区间,每个间隔区间内只存在有一种脉冲信号,具有功率效率更高、抗码间串扰更强的优点,但它也存在带宽利用率低的缺点。脉冲幅度位置调制(APPM)通过同时利用脉冲幅度和位置来传递信息,实现了在功率消耗和带宽利用率之间的权衡,可以看作是M-PPM和M-PAM调制格式的混合组合。但是传统的APPM也存在着带宽占用大,频谱效率不高的问题,在高速率的传输系统中使用受限,需要一种新型的脉冲幅度位置相结合的调制方式。At the same time, in the short-distance optical communication system, in order to accommodate more users and meet the needs of transmission capacity, the development of short-distance transmission has changed from the classic non-return-to-zero time division multiplexing (NRZ-TDM) to wavelength division multiplexing (WDM). and more advanced modulation formats. For example, Orthogonal Frequency Division Multiplexing (OFDM), Carrier-Free Amplitude-Phase (CAP) modulation, Discrete Multitone Modulation (DMT), Pulse Amplitude Modulation (PAM), etc., these modulation formats can keep the bandwidth and number of channels unchanged. to obtain higher transmission capacity. Among these advanced modulation formats, the peak-to-average power of PAM-4 is significantly lower than that of DMT modulation technology, and the receiver sensitivity is better than that of CAP16 under the same bit rate, so it has attracted the interest of many researchers. However, the power loss of PAM increases exponentially with the increase of modulation order, and high-order PAM is prone to the problem of symbol crosstalk, which increases the difficulty of receiving decision. Pulse position modulation (PPM) divides the symbol into multiple sub-intervals, and there is only one pulse signal in each interval, which has the advantages of higher power efficiency and stronger resistance to intersymbol interference, but it also has low bandwidth utilization. Shortcomings. Pulse Amplitude Position Modulation (APPM) achieves a trade-off between power consumption and bandwidth utilization by utilizing both pulse amplitude and position to convey information, and can be viewed as a hybrid combination of M-PPM and M-PAM modulation formats. However, the traditional APPM also has the problems of large bandwidth occupation and low spectral efficiency. Its use in high-speed transmission systems is limited, and a new modulation method combining pulse amplitude and position is required.

由于APPM信号在每个符号周期内只存在一个具有信息的脉冲,容易造成带宽占用大,频谱效率不高的问题,同时传统APPM只具有单一维度,传输容量提升困难,无法满足带宽需求大,网络规模大,灵活度高的短距离传输要求;同时传统模式复用系统不可避免出现的模式串扰问题,目前还没有针对性提出的办法对这两者同时进行优化补偿。Since there is only one pulse with information in each symbol period of the APPM signal, it is easy to cause the problem of large bandwidth occupation and low spectral efficiency. At the same time, the traditional APPM only has a single dimension, and it is difficult to improve the transmission capacity and cannot meet the large bandwidth demand. Large-scale, high-flexibility short-distance transmission requirements; at the same time, the mode crosstalk problem that inevitably occurs in traditional mode multiplexing systems, there is no targeted method to optimize and compensate for the two at the same time.

发明内容SUMMARY OF THE INVENTION

发明目的:为了改善传统少模传输系统中的模式串扰问题及传统APPM调制中频谱效率低的问题,本发明的目的在于提供基于三维脉冲幅度位置调制的正交模式复用传输方法,基于大容量,低复杂度,高频谱效率传输的诉求及模式串扰的产生机理,采用了基于三维脉冲幅度位置调制的正交模式复用系统进行传输。Purpose of the invention: In order to improve the problem of mode crosstalk in the traditional few-mode transmission system and the problem of low spectral efficiency in the traditional APPM modulation, the purpose of the present invention is to provide an orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation, based on large capacity. , low complexity, high spectral efficiency transmission demands and mode crosstalk generation mechanism, using the orthogonal mode multiplexing system based on three-dimensional pulse amplitude position modulation for transmission.

技术方案:为实现上述目的,本发明采用如下技术方案:Technical scheme: in order to achieve the above-mentioned purpose, the present invention adopts the following technical scheme:

基于三维脉冲幅度位置调制的正交模式复用传输方法,输入的原始数据经过串并变换单元进行串并变换后在APPM映射单元中完成编码映射,编码后的信号经过上采样单元后经过滤波器单元进行正交滤波,正交滤波后的信号经过加法器单元相加合成一路三维APPM信号后进行正交模式传输。The orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation, the input original data is subjected to serial-to-parallel conversion by the serial-to-parallel conversion unit, and then the coding and mapping are completed in the APPM mapping unit. The encoded signal passes through the up-sampling unit and then passes through the filter. The unit performs quadrature filtering, and the signals after quadrature filtering are added by the adder unit to synthesize a three-dimensional APPM signal and then transmit in quadrature mode.

进一步地,包括如下步骤:Further, include the following steps:

1)串并变换单元将输入的原始数据转换成并行传输的数据;1) The serial-parallel conversion unit converts the input original data into parallel transmission data;

2)所述的步骤1)中并行传输的数据经过APPM映射单元得到经过APPM映射的信号,再进行编码传输;2) The data transmitted in parallel in the step 1) obtains the signal mapped by the APPM through the APPM mapping unit, and then performs encoding and transmission;

经过APPM映射的信号每个符号周期内有一个时隙存在脉冲,其他时隙为0,这样的脉冲一共有八种不同的组合形式;The signal mapped by APPM has a pulse in one time slot in each symbol period, and the other time slots are 0. There are eight different combinations of such pulses;

3)通过上采样单元对步骤2)中所述的经过APPM映射的信号进行上采样,实现信号在频谱上的周期延拓,得到三路APPM信号;在上采样单元中,进行一定倍数的上采样能在接收端恢复出发送信息,同时降低滤波器的抽头数要求;3) Up-sampling the APPM-mapped signal described in step 2) by the up-sampling unit to realize the periodic extension of the signal on the spectrum, and obtain three APPM signals; in the up-sampling unit, perform a certain multiple of Sampling can recover the transmitted information at the receiving end, while reducing the number of taps required by the filter;

4)通过滤波器单元对步骤3)得到的信号进行滤波;将上采样单元后的APPM信号乘以三路相互正交的滤波器,保持三路APPM信号的正交性;4) Filter the signal obtained in step 3) by the filter unit; multiply the APPM signal after the upsampling unit by three mutually orthogonal filters to maintain the orthogonality of the three APPM signals;

5)通过加法器单元将步骤4)中的三路APPM信号合成一路,得到一个完整的三维APPM信号,随后在正交模式复用系统中进行传输。5) Synthesize the three APPM signals in step 4) into one through the adder unit to obtain a complete three-dimensional APPM signal, which is then transmitted in the orthogonal mode multiplexing system.

进一步地,步骤1)中,所述的输入的原始数据在经过串并变换后分成三个数据流,进行多维度的复用。Further, in step 1), the input original data is divided into three data streams after serial-parallel transformation, and multi-dimensional multiplexing is performed.

进一步地,步骤2)中,由串并变化生成的三个数据流各自通过APPM映射单元进行2×4APPM映射。Further, in step 2), each of the three data streams generated by the serial-to-parallel change is subjected to 2×4APPM mapping through the APPM mapping unit.

进一步地,所述的2×4APPM中,每个符号具有三个比特,一个比特用于幅度匹配,两个比特用于位置匹配;其中,i表示幅度比特,将{0},{1}对应为v 1 v 2 两个不同的幅度,两个不同幅度的脉冲出现的概率均等,为1/2;j表示位置比特,{y 1 ,y 2 }组合用于从四个时隙中选择一个进行能量信号滤波,通过ij的选择、组合完成脉冲幅度位置调制的过程,生成的APPM信号每个符号周期内只有一个时隙存在脉冲,其他时隙脉冲幅度为0,这样的脉冲一共有八种不同的组合形式。Further, in the 2×4 APPM, each symbol has three bits, one bit is used for amplitude matching, and two bits are used for position matching; wherein, i represents the amplitude bit, and {0}, {1} correspond to is v 1 , v 2 with two different amplitudes, and the probability of two pulses of different amplitudes appearing is equal, which is 1/2; j represents the position bit, and the combination of { y 1 , y 2 } is used to select from four time slots One is to filter the energy signal, and complete the process of pulse amplitude position modulation through the selection and combination of i and j . The generated APPM signal has only one time slot pulse in each symbol period, and the pulse amplitude of other time slots is 0. Such pulses have a total of There are eight different combinations.

进一步地,步骤4)中,所述的对步骤3)得到的信号进行滤波是使用极大极小优化算法得到三个相互正交的滤波器单元,正交的滤波器的频率响应曲线公式表示为:Further, in step 4), the filtering of the signal obtained in step 3) is to use the minimax optimization algorithm to obtain three mutually orthogonal filter units, and the frequency response curve of the orthogonal filter is expressed by the formula. for:

Figure 908688DEST_PATH_IMAGE001
Figure 908688DEST_PATH_IMAGE001

其中,f i 为发送端第i路滤波器冲激响应,f 1表示发送端第一路滤波器冲激响应,f 2表示发送端第二路滤波器冲激响应,f 3表示发送端第三路滤波器冲激响应,;F是f i 的频率幅度特性,F1为滤波器f 1的频率幅度特性,F2为滤波器f 2的频率幅度特性,F3为滤波器f 3的频率幅度特性;H是目标带通频率响应;线性约束中R(Z)为接收机滤波器组的多相分解,S(Z)为发射机滤波器组的多相分解,Γ为置换矩阵,I为单位矩阵,Z -n 表示n个延迟元素,通过该线性约束计算出接收端响应的匹配滤波器;在PR条件基础上,利用最优化原理,使得丨F 1 -H丨,丨F 2 -H丨,丨F 3 -H丨三项中的最大一项趋于最小,最终通过迭代优化使得发送滤波器F i 超出目标带通频率响应的部分趋于最小。Among them, f i is the impulse response of the i -th filter at the sending end, f 1 is the impulse response of the first filter at the sending end, f 2 is the impulse response of the second filter at the sending end, and f 3 is the first filter at the sending end Three-way filter impulse response, F is the frequency amplitude characteristic of f i , F 1 is the frequency amplitude characteristic of the filter f 1 , F 2 is the frequency amplitude characteristic of the filter f 2 , F 3 is the frequency amplitude characteristic of the filter f 3 frequency-amplitude characteristics; H is the target bandpass frequency response; R(Z) is the polyphase decomposition of the receiver filter bank in the linear constraint, S(Z) is the polyphase decomposition of the transmitter filter bank, Γ is the permutation matrix, I is a unit matrix, Z -n represents n delay elements, and the matched filter of the receiver response is calculated through this linear constraint; on the basis of the PR condition, using the optimization principle, such that I F 1 -H I, I F 2 -H1 , 1F 3 -H1 The largest of the three terms tends to be the smallest, and finally through iterative optimization , the part of the transmit filter Fi that exceeds the target bandpass frequency response tends to be the smallest.

进一步地,步骤5)中,所述的通过加法器单元将步骤4)中的三路APPM信号合成一路具体为:在发送端,根据模场相关系数为0的正交化模场原理,激光源产生的连续光经过SLM后实现模场的调控,输出模斑半径不同的正交模式光,为MZM提供光输入,实现强度调制;电域上的三维APPM经数模转换器将数字信号转换成模拟信号波形,随后用于驱动MZM;加载三维APPM的各个模式光通过掺铒光纤放大器(EDFA)进行光放大后经由正交光子耦合器合成一路。Further, in step 5), the combination of the three channels of APPM signals in step 4) by the adder unit is specifically: at the transmitting end, according to the principle of the orthogonalized mode field that the mode field correlation coefficient is 0, the laser The continuous light generated by the source realizes the regulation of the mode field after passing through the SLM, and outputs orthogonal mode light with different mode spot radii, providing light input for the MZM to realize intensity modulation; the three-dimensional APPM on the electrical domain converts the digital signal through a digital-to-analog converter. into an analog signal waveform, which is then used to drive the MZM; the light of each mode loaded with the three-dimensional APPM is optically amplified by an erbium-doped fiber amplifier (EDFA) and then synthesized through an orthogonal photonic coupler.

此时各个模式的模斑半径呈现阶梯式递增半径(a 1 a 2 <…<a N ),叠加表现为具有不同半径的同心圆排列。耦合成一路的携带有信息正交模式光在25KM少模光纤中进行传输。At this time, the mode spot radius of each mode presents a step-like increasing radius ( a 1 < a 2 <... < a N ), and the superposition appears as the arrangement of concentric circles with different radii. The information-carrying orthogonal mode light coupled into one channel is transmitted in a 25KM few-mode fiber.

与所述的发送端的工作流程相反,在接收端,接收端的光信号首先经过一个光滤波器,这可以将由发送端中EDFA产生的放大器自发辐射噪声(ASE)噪声滤除,同时可以过滤掉信道噪声;随后经过一个可调节光衰减器(VOA)进行接收光功率的调节,光电探测器用于探测接收光信号并转换为电信号,最后在电脑端进行三维APPM的解调及误码率计算。Contrary to the working process of the transmitting end, at the receiving end, the optical signal of the receiving end first passes through an optical filter, which can filter out the amplifier spontaneous emission noise (ASE) noise generated by the EDFA in the transmitting end, and at the same time can filter out the channel Noise; then through an adjustable optical attenuator (VOA) to adjust the received optical power, the photodetector is used to detect the received optical signal and convert it into an electrical signal, and finally perform three-dimensional APPM demodulation and bit error rate calculation on the computer side.

基于三维脉冲幅度位置调制的正交模式复用方法具体可以体现在两个方面:第一方面,首先输入的原始数据在经过串并变换后分为三个部分,各自进行映射,形成三路2×4APPM匹配信号,随后这三路信号在经过上采样和三组相互正交的滤波器后生成互为正交的三维信号,再经过一个加法器后三路信号合成一路,此时产生了一个三维APPM信号;第二方面,激光源输出的连续光在经过空间光调制器(SLM)的光场调控作用,输出模斑半径不同的多个正交模式光,多个正交模式光场间互相关系数为0,模式之间相互正交。产生的多个正交模式光在分别加载上三维APPM信号后,经过一个正交光子耦合器合成一路在少模光纤中进行传输。The quadrature mode multiplexing method based on three-dimensional pulse amplitude position modulation can be embodied in two aspects: first, the input original data is divided into three parts after serial-parallel transformation, and each is mapped to form a three-way 2 ×4APPM matching signal, then the three-way signals are up-sampling and three sets of mutually orthogonal filters to generate mutually orthogonal three-dimensional signals, and then after an adder, the three-way signals are combined into one, and a Three-dimensional APPM signal; secondly, the continuous light output by the laser source is controlled by the spatial light modulator (SLM) to output multiple orthogonal mode lights with different mode spot radii. The cross-correlation coefficient is 0, and the modes are orthogonal to each other. After the generated multiple orthogonal mode lights are respectively loaded with three-dimensional APPM signals, they are synthesized by an orthogonal photonic coupler and transmitted in a few-mode fiber.

有益效果:与现有技术相比,本发明的基于三维脉冲幅度位置调制的正交模式复用传输方法,针对APPM频谱效率不高、但传输质量高的优点,通过降低采样过程中采样倍数要求,及所需滤波器抽头数目,降低系统复杂度及成本,同时基于三组正交滤波器实现的三维APPM复用有效提升了系统传输容量,为系统拓展到更高维度提供了可能性;基于正交模式复用传输方法,通过消除模式之间的交叠降低模式串扰,可实现接收端的无MIMO处理的多模复用传输,降低系统复杂度和成本,并有效提升传输系统容量。Beneficial effect: Compared with the prior art, the orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation of the present invention, aiming at the advantages of low spectral efficiency of APPM but high transmission quality, by reducing the sampling multiple requirement in the sampling process , and the required number of filter taps, reducing the complexity and cost of the system. At the same time, the three-dimensional APPM multiplexing based on three sets of orthogonal filters effectively improves the system transmission capacity and provides the possibility for the system to expand to a higher dimension; The orthogonal mode multiplexing transmission method reduces the mode crosstalk by eliminating the overlap between the modes, which can realize multi-mode multiplexing transmission without MIMO processing at the receiving end, reduce the system complexity and cost, and effectively improve the transmission system capacity.

附图说明Description of drawings

图1为基于三维脉冲幅度位置调制的正交模式复用传输方法的流程图;1 is a flowchart of an orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation;

图2为三维脉冲幅度位置调制原理图;Figure 2 is a schematic diagram of three-dimensional pulse amplitude position modulation;

图3为2×4APPM映射规则;Figure 3 is the 2×4APPM mapping rule;

图4为相互正交的三维滤波器频率响应;Fig. 4 is the three-dimensional filter frequency response that is orthogonal to each other;

图5为本发明的传输实验方案;Fig. 5 is the transmission experiment scheme of the present invention;

图6为本发明误码率仿真结果。Fig. 6 is the simulation result of the bit error rate of the present invention.

具体实施方式Detailed ways

以下结合具体实施方式对本发明做进一步的说明。The present invention will be further described below in conjunction with specific embodiments.

一种基于三维脉冲幅度位置调制的正交模式复用传输方法,如图2所示,输入的原始数据经过串并变换单元进行串并变换后在APPM映射单元中完成编码映射,编码后的信号经过上采样单元后经过滤波器单元进行正交滤波,正交滤波后的信号经过加法器单元相加合成一路三维APPM信号后进行正交模式传输。具体包括如下步骤:An orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation. After the up-sampling unit, the filter unit is used for orthogonal filtering, and the orthogonally filtered signal is added by the adder unit to synthesize a three-dimensional APPM signal for transmission in the orthogonal mode. Specifically include the following steps:

1)串并变换单元1) Serial-parallel conversion unit

串并变换单元将输入的数据转换成并行传输的数据;为了进行多维度的复用,输入的原始数据在经过串并变换后分成了三个数据流;The serial-to-parallel conversion unit converts the input data into data for parallel transmission; in order to perform multi-dimensional multiplexing, the input original data is divided into three data streams after serial-to-parallel conversion;

2)APPM映射单元2) APPM mapping unit

为了进行更好的编码传输,步骤1)的三个数据流需要进行APPM映射;经过APPM映射的信号每个符号周期内只有一个时隙存在脉冲,其他时隙为0,这样的脉冲一共有八种不同的组合形式;For better coded transmission, the three data streams in step 1) need to be mapped by APPM; only one time slot has a pulse in each symbol period of the signal mapped by APPM, and the other time slots are 0. There are eight such pulses in total. different combinations;

3)上采样单元3) Upsampling unit

为了实现信号在频谱上的周期延拓,需要对步骤2)中APPM映射信号进行上采样;在上采样单元中,进行一定倍数的上采样能在接收端恢复出发送信息,同时降低滤波器的抽头数要求;In order to realize the periodic extension of the signal in the frequency spectrum, it is necessary to upsample the APPM mapped signal in step 2). number of taps required;

4)滤波器单元4) Filter unit

为了保持三路APPM信号的正交性,对步骤3)得到的信号进行滤波;我们将上采样单元后的APPM信号乘以三路相互正交的滤波器;In order to maintain the orthogonality of the three APPM signals, the signals obtained in step 3) are filtered; we multiply the APPM signals after the upsampling unit by three mutually orthogonal filters;

5)加法器单元5) Adder unit

为了得到一个完整的三维APPM信号,通过加法器单元将步骤4)中的三路信号合成一路,随后在正交模式复用系统中进行传输。In order to obtain a complete three-dimensional APPM signal, the three-way signals in step 4) are combined into one through the adder unit, and then transmitted in the orthogonal mode multiplexing system.

步骤2)中,由串并变化生成的三个数据流各自通过APPM映射单元进行2×4APPM映射。在2×4APPM中,每个符号具有三个比特,一个比特用于幅度匹配,两个比特用于位置匹配。图中i表示幅度比特,将{0},{1}对应为v 1 v 2 两个不同的幅度,两个不同幅度的脉冲出现的概率均等,为1/2;j表示位置比特,{y 1 ,y 2 }组合用于从四个时隙中选择一个进行能量信号滤波,通过ij的选择、组合完成脉冲幅度位置调制的过程,生成的APPM信号每个符号周期内只有一个时隙存在脉冲,其他时隙脉冲幅度为0,这样的脉冲一共有八种不同的组合形式。In step 2), each of the three data streams generated by the serial-to-parallel change undergoes 2×4 APPM mapping through the APPM mapping unit. In 2x4APPM, each symbol has three bits, one bit for amplitude matching and two bits for position matching. In the figure i represents the amplitude bit, {0}, {1} correspond to two different amplitudes v 1 , v 2 , the probability of the two pulses with different amplitudes appearing is equal, which is 1/2; j represents the position bit, { The combination of y 1 , y 2 } is used to select one of the four time slots for energy signal filtering, and the process of pulse amplitude position modulation is completed through the selection and combination of i and j , and the generated APPM signal has only one time slot in each symbol period. There are pulses in the slot, and the pulse amplitude in other time slots is 0. There are eight different combinations of such pulses.

步骤3)中,以上采样倍数为4为例,进行4倍的频谱周期延拓。采样方法如下:假设输入第一路2×4APPM信号为{0,2,0,0,1,…},经过4倍的上采样后变为{0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,…}。In step 3), the above sampling multiple is 4 as an example, and the frequency spectrum period is extended by 4 times. The sampling method is as follows: Assume that the input first 2×4APPM signal is {0,2,0,0,1,…}, after 4 times of upsampling, it becomes {0,0,0,0,2,0, 0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,…}.

步骤4)中,为了保持三路APPM信号的正交性,对步骤3)得到的信号进行滤波。使用极大极小优化算法得到三个相互正交的滤波器单元(包括滤波器单元一、滤波器单元二、滤波器单元三),正交滤波器的频率响应曲线图,具体可以用公式表示为:In step 4), in order to maintain the orthogonality of the three APPM signals, the signals obtained in step 3) are filtered. Use the minimax optimization algorithm to obtain three mutually orthogonal filter units (including filter unit 1, filter unit 2, filter unit 3), and the frequency response curve of the orthogonal filter can be expressed by the formula. for:

Figure 191902DEST_PATH_IMAGE001
Figure 191902DEST_PATH_IMAGE001

其中,f i 为发送端第i路滤波器冲激响应,f 1表示发送端第一路滤波器冲激响应,同样的,f 2f 3为第二路,第三路滤波器冲激响应。F是f i 的频率幅度特性,即F1为滤波器f 1的频率幅度特性,F2为滤波器f 2的频率幅度特性,F3为滤波器f 3的频率幅度特性。H是目标带通频率响应;线性约束中R(Z), S(Z)为接收机和发射机滤波器组的多相分解,Γ为置换矩阵,I为单位矩阵,Z -n 表示n个延迟元素,通过该线性约束计算出接收端响应的匹配滤波器。根据上述等数,在PR条件基础上,利用最优化原理,使丨F 1 -H丨,丨F 2 -H丨,丨F 3 -H丨三项中的最大一项趋于最小,最终通过迭代优化使得发送滤波器F i 超出目标带通频率响应的部分趋于最小。Among them, f i is the impulse response of the i -th filter at the sending end, f 1 is the impulse response of the first filter at the sending end, and similarly, f 2 and f 3 are the second and third filter impulse responses. response. F is the frequency amplitude characteristic of f i , that is, F 1 is the frequency amplitude characteristic of the filter f 1 , F 2 is the frequency amplitude characteristic of the filter f 2 , and F 3 is the frequency amplitude characteristic of the filter f 3 . H is the target bandpass frequency response; R(Z) , S(Z) are the polyphase decomposition of the receiver and transmitter filter banks in the linear constraint, Γ is the permutation matrix, I is the identity matrix, and Z - n represents n Delay element, the matched filter of the receiver response is calculated by this linear constraint. According to the above equations, on the basis of PR conditions, using the optimization principle, the largest one of the three items of 1F 1 -H1 , 1F 2 -H1 , and 1F 3 -H1 tends to be the smallest, and finally passes The iterative optimization minimizes the portion of the transmit filter Fi that exceeds the target bandpass frequency response.

步骤5)中,基于三维脉冲幅度位置调制的正交模式复用传输方法系统方案如图5所示。在发送端,根据模场相关系数为0的正交化模场原理,激光源产生的连续光经过SLM后实现模场的调控,输出模斑半径不同的正交模式光,为MZM提供光输入,实现强度调制。电域上的三维APPM经数模转换器将数字信号转换成模拟信号波形,随后用于驱动MZM。加载三维APPM的各个模式光通过掺铒光纤放大器(EDFA)进行光放大后经由正交光子耦合器合成一路。此时各个模式的模斑半径呈现阶梯式递增半径(a 1 a 2 <…<a N ),叠加表现为具有不同半径的同心圆排列。耦合成一路的携带有信息正交模式光在25KM少模光纤中进行传输。In step 5), the system scheme of the orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation is shown in FIG. 5 . At the sending end, according to the principle of orthogonalized mode field with the mode field correlation coefficient being 0, the continuous light generated by the laser source is controlled by the mode field after passing through the SLM, and the orthogonal mode light with different mode spot radii is output to provide optical input for the MZM , to achieve intensity modulation. The three-dimensional APPM on the electrical domain converts the digital signal into an analog signal waveform via a digital-to-analog converter, which is then used to drive the MZM. The light of each mode loaded with the three-dimensional APPM is optically amplified by an erbium-doped fiber amplifier (EDFA) and then synthesized into one channel by an orthogonal photonic coupler. At this time, the mode spot radius of each mode presents a step-like increasing radius ( a 1 < a 2 <... < a N ), and the superposition appears as the arrangement of concentric circles with different radii. The information-carrying orthogonal mode light coupled into one channel is transmitted in a 25KM few-mode fiber.

在接收端,与发送端的工作流程相反,接收端的光信号首先经过一个光滤波器,这可以将由发送端中EDFA产生的放大器自发辐射噪声(ASE)噪声滤除,同时可以过滤掉信道噪声。随后经过一个可调节光衰减器(VOA)进行接收光功率的调节,光电探测器用于探测接收光信号并转换为电信号,最后在电脑端进行三维APPM的解调及误码率计算。At the receiving end, contrary to the working process of the transmitting end, the optical signal at the receiving end first passes through an optical filter, which can filter out the amplifier spontaneous emission noise (ASE) noise generated by the EDFA in the transmitting end, as well as the channel noise. Then, the received optical power is adjusted through an adjustable optical attenuator (VOA), and the photodetector is used to detect the received optical signal and convert it into an electrical signal. Finally, the three-dimensional APPM demodulation and bit error rate calculation are performed on the computer.

实施例Example

图1所示为本发明的系统流程图,原始数据经过三维APPM映射实现了3路APPM信号的多维度复用,同时N个激光源经过SLM后获得了多个模斑半径不同的正交模式光,随后在马赫曾德调制器(MZM)的作用下经过了数模转换器(ADC)的三维APPM信号进行正交模式复用。其中三维脉冲幅度位置调制为本发明的核心内容,如图2所示,该过程可以分为串并变换,APPM映射,上采样,滤波器和加法器。各个模块的具体工作流程为:Figure 1 shows the system flow chart of the present invention. The original data is subjected to three-dimensional APPM mapping to realize multi-dimensional multiplexing of 3-channel APPM signals. At the same time, N laser sources obtain multiple orthogonal modes with different mode spot radii after SLM. The light is then multiplexed in quadrature mode by the three-dimensional APPM signal passing through a digital-to-analog converter (ADC) under the action of a Mach-Zehnder modulator (MZM). The three-dimensional pulse amplitude position modulation is the core content of the present invention. As shown in Figure 2, the process can be divided into serial-parallel conversion, APPM mapping, upsampling, filter and adder. The specific workflow of each module is as follows:

(1)串并变换单元(1) Serial-parallel conversion unit

为了进行多维度的复用,输入的原始数据在经过串并变换后分成了三个数据流。For multi-dimensional multiplexing, the input raw data is divided into three data streams after serial-parallel transformation.

(2)APPM映射单元(2) APPM mapping unit

这样经过APPM映射的信号每个符号周期内只有一个时隙存在脉冲其他时隙为0,这样的脉冲一共有八种不同的组合形式。In this way, in each symbol period of the APPM-mapped signal, only one time slot has a pulse and the other time slots are 0. There are eight different combinations of such pulses.

由串并变化生成的三个数据流各自进行2×4APPM映射,映射规则如图3所示。在2×4APPM中,每个符号具有三个比特,一个比特用于幅度匹配,两个比特用于位置匹配。图中i表示幅度比特,将{0},{1}对应为v 1 v 2 两个不同的幅度,两个不同幅度的脉冲出现的概率均等,为1/2;j表示位置比特,{y 1 ,y 2 }组合用于从四个时隙中选择一个进行能量信号滤波,通过ij的选择、组合完成脉冲幅度位置调制的过程,生成的APPM信号每个符号周期内只有一个时隙存在脉冲其他时隙为0,这样的脉冲一共有八种不同的组合形式。Each of the three data streams generated by the serial-parallel change is mapped to 2×4 APPM, and the mapping rules are shown in Figure 3. In 2x4APPM, each symbol has three bits, one bit for amplitude matching and two bits for position matching. In the figure i represents the amplitude bit, {0}, {1} correspond to two different amplitudes v 1 , v 2 , the probability of the two pulses with different amplitudes appearing is equal, which is 1/2; j represents the position bit, { The combination of y 1 , y 2 } is used to select one of the four time slots for energy signal filtering, and the process of pulse amplitude position modulation is completed through the selection and combination of i and j , and the generated APPM signal has only one time slot in each symbol period. There are pulses in the slot and other time slots are 0. There are eight different combinations of such pulses.

(3)上采样单元(3) Upsampling unit

在上采样单元中,进行一定倍数的上采样能在接收端恢复出发送信息,同时降低滤波器的抽头数要求。在采样倍数为4的系统中,采样方法如下:假设输入第一路2×4APPM信号为{0,2,0,0,1,…},经过4倍的上采样后变为{0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,…}。In the up-sampling unit, performing up-sampling by a certain multiple can restore the transmitted information at the receiving end, and at the same time reduce the requirement for the number of taps of the filter. In a system with a sampling multiple of 4, the sampling method is as follows: Assuming that the first 2×4 APPM signal is {0,2,0,0,1,…}, it becomes {0,0 after 4 times of upsampling ,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,…}.

(4)滤波器单元(4) Filter unit

为了进行APPM的三维复用,我们将上采样后的APPM信号乘以三路相互正交的滤波器。本发明使用极大极小优化算法得到三个相互正交的滤波器单元,图4为本发明所采用的正交滤波器的频率响应曲线图,具体可以用公式表示为:In order to perform three-dimensional multiplexing of APPM, we multiply the upsampled APPM signal by three mutually orthogonal filters. The present invention uses the minimax optimization algorithm to obtain three mutually orthogonal filter units, and FIG. 4 is the frequency response curve diagram of the orthogonal filter adopted in the present invention, which can be specifically expressed as:

Figure 217626DEST_PATH_IMAGE001
Figure 217626DEST_PATH_IMAGE001

其中,f i 为发送端第i路滤波器冲激响应,f 1表示发送端第一路滤波器冲激响应,同样的,f 2f 3为第二路,第三路滤波器冲激响应。F是f i 的频率幅度特性,即F1为滤波器f 1的频率幅度特性,F2,F3为滤波器f 2f 3的频率幅度特性,H是目标带通频率响应;线性约束中R (Z), S(Z)为接收机和发射机滤波器组的多相分解,Γ为置换矩阵,I为单位矩阵,Z -n 表示n个延迟元素,通过该线性约束计算出接收端响应的匹配滤波器。根据上述等数,在PR条件基础上,利用最优化原理,使得丨F 1 -H丨,丨F 2 -H丨,丨F 3 -H丨三项中的最大一项趋于最小,最终通过迭代优化使得发送滤波器F i 超出目标带通频率响应的部分趋于最小。Among them, f i is the impulse response of the i -th filter at the sending end, f 1 is the impulse response of the first filter at the sending end, and similarly, f 2 and f 3 are the second and third filter impulse responses. response. F is the frequency amplitude characteristic of f i , that is, F 1 is the frequency amplitude characteristic of the filter f 1 , F 2 and F 3 are the frequency amplitude characteristics of the filter f 2 and f 3 , and H is the target band-pass frequency response; linear constraint where R (Z) , S(Z) are the polyphase decomposition of the receiver and transmitter filter banks, Γ is the permutation matrix, I is the identity matrix, and Z - n represents n delay elements. matched filter with end-response. According to the above equations, on the basis of PR conditions, the optimization principle is used to make the largest one of the three items of 1F 1 -H1 , 1F 2 -H1 and 1F 3 -H1 tend to be the smallest, and finally pass the The iterative optimization minimizes the portion of the transmit filter Fi that exceeds the target bandpass frequency response.

(5)加法器单元(5) Adder unit

经过正交滤波后的三路正交信号通过加法器单元进行简单的加法运算合成一路。The three-way orthogonal signals after orthogonal filtering are synthesized by a simple addition operation through the adder unit.

基于三维脉冲幅度位置调制的正交模式复用传输方法系统方案如图5所示。在发送端,根据模场相关系数为0的正交化模场原理,激光源产生的连续光经过SLM后实现模场的调控,输出模斑半径不同的正交模式光,为MZM提供光输入,实现强度调制。电域上的三维APPM经数模转换器将数字信号转换成模拟信号波形,随后用于驱动MZM。加载三维APPM的各个模式光通过掺铒光纤放大器(EDFA)进行光放大后经由正交光子耦合器合成一路。此时各个模式的模斑半径呈现阶梯式递增半径(a 1 a 2 <…<a N ),叠加表现为具有不同半径的同心圆排列。耦合成一路的携带有信息正交模式光在25KM少模光纤中进行传输。The system scheme of the orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation is shown in Fig. 5 . At the sending end, according to the principle of orthogonalized mode field with the mode field correlation coefficient being 0, the continuous light generated by the laser source is controlled by the mode field after passing through the SLM, and the orthogonal mode light with different mode spot radii is output to provide optical input for the MZM , to achieve intensity modulation. The three-dimensional APPM on the electrical domain converts the digital signal into an analog signal waveform via a digital-to-analog converter, which is then used to drive the MZM. The light of each mode loaded with the three-dimensional APPM is optically amplified by an erbium-doped fiber amplifier (EDFA) and then synthesized into one channel by an orthogonal photonic coupler. At this time, the mode spot radius of each mode presents a step-like increasing radius ( a 1 < a 2 <... < a N ), and the superposition is shown as the arrangement of concentric circles with different radii. The information-carrying orthogonal mode light coupled into one channel is transmitted in a 25KM few-mode fiber.

在接收端,与发送端的工作流程相反,接收端的光信号首先经过一个光滤波器,这可以将由发送端中EDFA产生的放大器自发辐射噪声(ASE)噪声滤除,同时可以过滤掉信道噪声。随后经过一个可调节光衰减器(VOA)进行接收光功率的调节,光电探测器用于探测接收光信号并转换为电信号,最后在电脑端进行三维APPM的解调及误码率计算。At the receiving end, contrary to the working process of the transmitting end, the optical signal at the receiving end first passes through an optical filter, which can filter out the amplifier spontaneous emission noise (ASE) noise generated by the EDFA in the transmitting end, as well as the channel noise. Then, the received optical power is adjusted through an adjustable optical attenuator (VOA), and the photodetector is used to detect the received optical signal and convert it into an electrical signal. Finally, the three-dimensional APPM demodulation and bit error rate calculation are performed on the computer.

为了说明专利所述方法具有误码性能的改善,我们在表1中对APPM,三维APPM(3D-APPM),3D-CAP8,3D-CAP16的一些特征值进行了列举。根据信息熵的公式可以计算得到2×4APPM和三维APPM的信息熵分别为0.75和2.25,因此进行了三维复用的三维APPM传输容量可以看作是传统APPM的三倍。在三维APPM与3D-CAP8,3D-CAP16的对比中,首先设定3D-CAP-16的上采样因子为16,在此基础上计算得到相同的传输速率下其他两种调制格式的上采样因子,从表1结果分析可以得出三维APPM的上采样率因子均低于另外两种方案,即占用带宽更小,证明所提出的方案对比传统方案频谱利用率有所提高。In order to illustrate that the method described in the patent has improved bit error performance, we list some eigenvalues of APPM, three-dimensional APPM (3D-APPM), 3D-CAP8, and 3D-CAP16 in Table 1. According to the formula of information entropy, the information entropy of 2×4 APPM and 3D APPM can be calculated to be 0.75 and 2.25, respectively. Therefore, the transmission capacity of 3D APPM with 3D multiplexing can be regarded as three times that of traditional APPM. In the comparison of 3D APPM with 3D-CAP8 and 3D-CAP16, the upsampling factor of 3D-CAP-16 is firstly set as 16, and on this basis, the upsampling factor of the other two modulation formats under the same transmission rate is calculated. , from the analysis of the results in Table 1, it can be concluded that the upsampling rate factor of the three-dimensional APPM is lower than the other two schemes, that is, the occupied bandwidth is smaller, which proves that the proposed scheme has improved spectrum utilization compared with the traditional scheme.

表1三维APPM与3D-CAP8,3D-CAP16比较Table 1 Comparison of 3D APPM with 3D-CAP8 and 3D-CAP16

Figure DEST_PATH_IMAGE002
Figure DEST_PATH_IMAGE002

为了进一步说明提出的方案具有良好的误码性能,在高斯白噪声信道中进行仿真,设定的采样倍数如表1所示,得到的误码性能仿真结果如图6所示,在误码率为10-3时,三维APPM、3D-CAP8、3D-CAP16信噪比分别为:3.3dB,4.13dB,6.71dB。三维APPM较3D-CAP8和3D-CAP16分别获得了0.83dB,3.41dB的信噪比增益。说明提出的方案使系统获得了误码性能上的提升。In order to further illustrate that the proposed scheme has good bit error performance, the simulation is carried out in a Gaussian white noise channel. The set sampling multiples are shown in Table 1. The obtained bit error performance simulation results are shown in Figure 6. When it is 10 -3 , the signal-to-noise ratios of 3D APPM, 3D-CAP8, and 3D-CAP16 are: 3.3dB, 4.13dB, and 6.71dB, respectively. Compared with 3D-CAP8 and 3D-CAP16, the 3D APPM achieves SNR gains of 0.83dB and 3.41dB, respectively. It shows that the proposed scheme improves the bit error performance of the system.

以上所述仅是本发明的优选实施方式,对于本技术领域的普通技术人员来说,在不脱离本发明技术原理的前提下,还可以作出若干改进和变型,这些改进和变型也应该视为本发明保护范围。The above are only the preferred embodiments of the present invention. For those skilled in the art, without departing from the technical principle of the present invention, several improvements and modifications can also be made, and these improvements and modifications should also be regarded as The protection scope of the present invention.

Claims (6)

1.基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:输入的原始数据经过串并变换单元进行串并变换后在APPM映射单元中完成编码映射,编码后的信号经过上采样单元后经过滤波器单元进行正交滤波,正交滤波后的信号经过加法器单元相加合成一路三维APPM信号后进行正交模式传输;包括如下步骤:1. based on the orthogonal mode multiplexing transmission method of three-dimensional pulse amplitude position modulation, it is characterized in that: the original data of input completes coding mapping in the APPM mapping unit after the serial-parallel conversion unit carries out serial-parallel conversion, and the encoded signal passes through the After the sampling unit, the filter unit performs orthogonal filtering, and the orthogonally filtered signal is added by the adder unit to synthesize a three-dimensional APPM signal for orthogonal mode transmission; including the following steps: 1)串并变换单元将输入的原始数据转换成并行传输的数据;1) The serial-parallel conversion unit converts the input original data into parallel transmission data; 2)所述的步骤1)中并行传输的数据经过APPM映射单元得到经过APPM映射的信号,再进行编码传输;2) The data transmitted in parallel in the step 1) obtains the signal mapped by the APPM through the APPM mapping unit, and then performs encoding and transmission; 3)通过上采样单元对步骤2)中所述的经过APPM映射的信号进行上采样,实现信号在频谱上的周期延拓,得到三路APPM信号;在上采样单元中,进行一定倍数的上采样能在接收端恢复出发送信息,同时降低滤波器的抽头数要求;3) Up-sampling the APPM-mapped signal described in step 2) by the up-sampling unit to realize the periodic extension of the signal on the spectrum, and obtain three APPM signals; in the up-sampling unit, perform a certain multiple of Sampling can recover the transmitted information at the receiving end, while reducing the number of taps required by the filter; 4)通过滤波器单元对步骤3)得到的信号进行滤波;将上采样单元后的APPM信号乘以三路相互正交的滤波器,保持三路APPM信号的正交性;4) Filter the signal obtained in step 3) by the filter unit; multiply the APPM signal after the upsampling unit by three mutually orthogonal filters to maintain the orthogonality of the three APPM signals; 5)通过加法器单元将步骤4)中的三路APPM信号合成一路,得到一个完整的三维APPM信号,随后在正交模式复用系统中进行传输。5) Synthesize the three APPM signals in step 4) into one through the adder unit to obtain a complete three-dimensional APPM signal, which is then transmitted in the orthogonal mode multiplexing system. 2.根据权利要求1所述的基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:步骤1)中,所述的输入的原始数据在经过串并变换后分成三个数据流,进行多维度的复用。2. The orthogonal mode multiplexing transmission method based on three-dimensional pulse amplitude and position modulation according to claim 1, characterized in that: in step 1), the input original data is divided into three data after serial-parallel conversion stream for multi-dimensional multiplexing. 3.根据权利要求2所述的基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:步骤2)中,由串并变化生成的三个数据流各自通过APPM映射单元进行2×4APPM映射。3. The quadrature mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation according to claim 2, characterized in that: in step 2), the three data streams generated by the serial-parallel change are respectively processed by the APPM mapping unit for 2 ×4APPM mapping. 4.根据权利要求3所述的基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:所述的2×4APPM中,每个符号具有三个比特,一个比特用于幅度匹配,两个比特用于位置匹配;其中,i表示幅度比特,将{0},{1}对应为v 1 v 2 两个不同的幅度,两个不同幅度的脉冲出现的概率均等,为1/2;j表示位置比特,{y 1 ,y 2 }组合用于从四个时隙中选择一个进行能量信号滤波,通过ij的选择、组合完成脉冲幅度位置调制的过程。4. The quadrature mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation according to claim 3, characterized in that: in the 2×4 APPM, each symbol has three bits, and one bit is used for amplitude matching , two bits are used for position matching; among them, i represents the amplitude bit, {0}, {1} correspond to two different amplitudes v 1 , v 2 , the probability of the occurrence of pulses with two different amplitudes is equal, which is 1 /2; j represents the position bit, and the combination of { y 1 , y 2 } is used to select one of the four time slots for energy signal filtering, and the process of pulse amplitude position modulation is completed through the selection and combination of i and j . 5.根据权利要求1所述的基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:步骤4)中,所述的对步骤3)得到的信号进行滤波是使用极大极小优化算法得到三个相互正交的滤波器单元,正交的滤波器的频率响应曲线公式表示为:5. The quadrature mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation according to claim 1, characterized in that: in step 4), the filtering of the signal obtained in step 3) is performed by using a maximal polar The small optimization algorithm obtains three mutually orthogonal filter units, and the frequency response curve formula of the orthogonal filter is expressed as:
Figure 29867DEST_PATH_IMAGE001
Figure 29867DEST_PATH_IMAGE001
其中,f i 为发送端第i路滤波器冲激响应,f 1表示发送端第一路滤波器冲激响应,f 2表示发送端第二路滤波器冲激响应,f 3表示发送端第三路滤波器冲激响应;F是f i 的频率幅度特性,F1为滤波器f 1的频率幅度特性,F2为滤波器f 2的频率幅度特性,F3为滤波器f 3的频率幅度特性;H是目标带通频率响应;线性约束中R(Z)为接收机滤波器组的多相分解,S(Z)为发射机滤波器组的多相分解,Γ为置换矩阵,I为单位矩阵,Z -n 表示n个延迟元素,通过该线性约束计算出接收端响应的匹配滤波器;利用最优化原理,使得丨F 1 -H丨,丨F 2 -H丨,丨F 3 -H丨三项中的最大一项趋于最小,最终通过迭代优化使得发送滤波器F i 超出目标带通频率响应的部分趋于最小。Among them, f i is the impulse response of the i -th filter at the sending end, f 1 is the impulse response of the first filter at the sending end, f 2 is the impulse response of the second filter at the sending end, and f 3 is the first filter at the sending end Three-way filter impulse response; F is the frequency amplitude characteristic of f i , F 1 is the frequency amplitude characteristic of filter f 1 , F 2 is the frequency amplitude characteristic of filter f 2 , and F 3 is the frequency of filter f 3 Amplitude characteristics; H is the target bandpass frequency response; R(Z) is the polyphase decomposition of the receiver filter bank in the linear constraint, S(Z) is the polyphase decomposition of the transmitter filter bank, Γ is the permutation matrix, I is a unit matrix, Z - n represents n delay elements, and the matched filter of the response of the receiving end is calculated through this linear constraint ; using the optimization principle, make 1F1 - H1 , 1F2 - H1 , 1F3 The largest one of the three terms of -H1 tends to be the smallest, and finally, through iterative optimization, the part of the transmit filter F i beyond the target bandpass frequency response tends to be the smallest.
6.根据权利要求1所述的基于三维脉冲幅度位置调制的正交模式复用传输方法,其特征在于:步骤5)中,所述的通过加法器单元将步骤4)中的三路APPM信号合成一路,具体为:在发送端,根据模场相关系数为0的正交化模场原理,激光源产生的连续光经过SLM后实现模场的调控,输出模斑半径不同的正交模式光,为MZM提供光输入,实现强度调制;电域上的三维APPM经数模转换器将数字信号转换成模拟信号波形,随后用于驱动MZM;加载三维APPM的各个模式光通过掺铒光纤放大器进行光放大后经由正交光子耦合器合成一路。6. The quadrature mode multiplexing transmission method based on three-dimensional pulse amplitude position modulation according to claim 1, characterized in that: in step 5), the three-way APPM signal in step 4) is converted by the adder unit Synthesis one way, specifically: at the transmitting end, according to the principle of orthogonalized mode field with the mode field correlation coefficient being 0, the continuous light generated by the laser source is controlled by the mode field after passing through the SLM, and the orthogonal mode light with different mode spot radii is output. , providing optical input for the MZM to achieve intensity modulation; the three-dimensional APPM on the electrical domain converts the digital signal into an analog signal waveform through a digital-to-analog converter, which is then used to drive the MZM; the light of each mode loaded with the three-dimensional APPM is transmitted through an erbium-doped fiber amplifier. After the light is amplified, it is combined by an orthogonal photonic coupler.
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